Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	94×	body	1280	valid
4.0ms	40×	body	640	valid
3.0ms	182×	body	80	valid
2.0ms	27×	body	320	valid
1.0ms	15×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.1b	(- (exp (* a x)) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp (* a x))
12.0ms	(- (exp (* a x)) 1.0)

series44.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(exp (* a x))
33.0ms	(- (exp (* a x)) 1.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune76.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.4b	(* (* 1/2 (pow a 2)) x)
11.8b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
14.5b	(* (pow a 3) (pow x 3))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

15.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
23.0ms	(* (* 1/2 (pow a 2)) x)
18.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
22.0ms	(* (pow a 3) (pow x 3))

series215.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
21.0ms	(* (* 1/2 (pow a 2)) x)
85.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
57.0ms	(* (pow a 3) (pow x 3))

simplify100.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	471	797
1	2758	738
2	5001	738

prune314.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow a 2))
0.0b	(+ a (* (* 1/2 (pow a 2)) x))
0.2b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
6.4b	(* (* 1/2 (pow a 2)) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
11×	`prod-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-prod-down` `pow-exp` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 79

Calls

4 calls:

14.0ms	(* 1/2 (pow a 2))
6.0ms	(+ a (* (* 1/2 (pow a 2)) x))
15.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
22.0ms	(* (* 1/2 (pow a 2)) x)

series135.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* 1/2 (pow a 2))
40.0ms	(+ a (* (* 1/2 (pow a 2)) x))
52.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
20.0ms	(* (* 1/2 (pow a 2)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	317	462
1	1753	406
2	5002	404

prune171.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes246.0ms

Accuracy

97.2% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 21.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5

end0.0ms

sample918.0ms

Algorithm

intervals

Results

398.0ms	2722×	body	1280	valid
124.0ms	1346×	body	640	valid
91.0ms	5420×	body	80	valid
47.0ms	778×	body	320	valid
15.0ms	387×	body	160	valid